arXiv Machine Learning

Platonic Projection Structures: Operator-Induced Observability in Representation Learning

arXiv:2607. 05175v1 Announce Type: new Abstract: We characterize observability in representation learning through Platonic Projection Structures (PPS), an operator-theoretic framework for analyzing representation accessibility under partial observation.

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Platonic Projection Structures: Operator-Induced Observability in Representation Learning

We characterize observability in representation learning through Platonic Projection Structures (PPS), an operator-theoretic framework for analyzing representation accessibility under partial observation. Rather than treating observable outputs as direct reflections of latent representations, PPS models observation through a self-adjoint positive semidefinite operator acting on a latent representation space.